21677617174841 has 2 divisors, whose sum is σ = 21677617174842. Its totient is φ = 21677617174840.

The previous prime is 21677617174727. The next prime is 21677617174849. The reversal of 21677617174841 is 14847171677612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11608602979600 + 10069014195241 = 3407140^2 + 3173171^2 .

It is a cyclic number.

It is not a de Polignac number, because 21677617174841 - 2²² = 21677612980537 is a prime.

It is a super-2 number, since 2×21677617174841² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21677617174849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10838808587420 + 10838808587421.

It is an arithmetic number, because the mean of its divisors is an integer number (10838808587421).

Almost surely, 2^{21677617174841} is an apocalyptic number.

It is an amenable number.

21677617174841 is a deficient number, since it is larger than the sum of its proper divisors (1).

21677617174841 is an equidigital number, since it uses as much as digits as its factorization.

21677617174841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22127616, while the sum is 62.

The spelling of 21677617174841 in words is "twenty-one trillion, six hundred seventy-seven billion, six hundred seventeen million, one hundred seventy-four thousand, eight hundred forty-one".